You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars fromrunning off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left onthe car to slow it down.k2kTotal force (N)200015001000500ww Distance (cm)102030405060Both springs are described by Hooke's law and have spring constants k, = 2,000 N/m and k, = 2,400 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to theleft on the car in the figure. When the spring with spring constant k, compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 7,000 kg.%3D%3DWhen you present your design to your supervisor, he asks you for the maximum speed (in m/s) that a car can have and be stopped by your device..2918Write the work-kinetic energy theorem for the system of the rolling car. m/s

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